Adaptive Controller and Observer Design for a Class of Nonlinear Systems

Design of a stable adaptive controller and observer for a class of nonlinear systems is considered. The nonlinear systems contain the product of an unmeasurable state and an unknown parameter. The nonlinear system is transformed into a suitable form. Under the form, a stable adaptive controller and a stable nonlinear observer can be design. We present a method of adaptive controller and observer design for a class of third-order nonlinear systems and then extended the method to a more general class of nonlinear systems. An example is given which shows the validity of the result